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Homological mirror symmetry and tropical geometry [electronic resource]

Homological mirror symmetry and tropical geometry [electronic resource]

자료유형
E-Book(소장)
개인저자
Castaño-Bernard, Ricardo, 1972-.
서명 / 저자사항
Homological mirror symmetry and tropical geometry [electronic resource] / Ricardo Castano-Bernard ... [et al.], editors.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
형태사항
1 online resource (xi, 436 p.) : ill. (some col.).
총서사항
Lecture notes of the Unione matematica Italiana,1862-9113 ; 15
ISBN
9783319065144
요약
The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory, and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.
일반주기
Title from e-Book title page.  
내용주기
Oren Ben-Bassat and Elizabeth Gasparim: Moduli Stacks of Bundles on Local Surfaces -- David Favero, Fabian Haiden and Ludmil Katzarkov: An orbit construction of phantoms, Orlov spectra and Knörrer Periodicity -- Stéphane Guillermou and Pierre Schapira: Microlocal theory of sheaves and Tamarkin’s non displaceability theorem -- Sergei Gukov and Piotr Sułkowski: A-polynomial, B-model and Quantization -- M. Kapranov, O. Schiffmann, E. Vasserot: Spherical Hall Algebra of Spec(Z) -- Maxim Kontsevich and Yan Soibelman: Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and mirror Symmetry -- Grigory Mikhalkin and Ilia Zharkov: Tropical eigen wave and intermediate Jacobians -- Andrew Neitzke: Notes on a new construction of hyperkahler metrics -- Helge Ruddat: Mirror duality of Landau-Ginzburg models via Discrete Legendre Transforms -- Nicolo Sibilla: Mirror Symmetry in dimension one and Fourier-Mukai transforms -- Alexander Soibelman: The very good property for moduli of parabolic bundles and the additive Deligne-Simpson problem.
서지주기
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Algebra, Homological. Mirror symmetry. Tropical geometry.
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001 000046047171
005 20200924143321
006 m d
007 cr
008 200916s2014 sz a ob 000 0 eng d
020 ▼a 9783319065144
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA564-609
082 0 4 ▼a 512.55 ▼2 23
084 ▼a 512.55 ▼2 DDCK
090 ▼a 512.55
245 0 0 ▼a Homological mirror symmetry and tropical geometry ▼h [electronic resource] / ▼c Ricardo Castano-Bernard ... [et al.], editors.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xi, 436 p.) : ▼b ill. (some col.).
490 1 ▼a Lecture notes of the Unione matematica Italiana, ▼x 1862-9113 ; ▼v 15
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼a Oren Ben-Bassat and Elizabeth Gasparim: Moduli Stacks of Bundles on Local Surfaces -- David Favero, Fabian Haiden and Ludmil Katzarkov: An orbit construction of phantoms, Orlov spectra and Knörrer Periodicity -- Stéphane Guillermou and Pierre Schapira: Microlocal theory of sheaves and Tamarkin’s non displaceability theorem -- Sergei Gukov and Piotr Sułkowski: A-polynomial, B-model and Quantization -- M. Kapranov, O. Schiffmann, E. Vasserot: Spherical Hall Algebra of Spec(Z) -- Maxim Kontsevich and Yan Soibelman: Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and mirror Symmetry -- Grigory Mikhalkin and Ilia Zharkov: Tropical eigen wave and intermediate Jacobians -- Andrew Neitzke: Notes on a new construction of hyperkahler metrics -- Helge Ruddat: Mirror duality of Landau-Ginzburg models via Discrete Legendre Transforms -- Nicolo Sibilla: Mirror Symmetry in dimension one and Fourier-Mukai transforms -- Alexander Soibelman: The very good property for moduli of parabolic bundles and the additive Deligne-Simpson problem.
520 ▼a The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory, and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Algebra, Homological.
650 0 ▼a Mirror symmetry.
650 0 ▼a Tropical geometry.
700 1 ▼a Castaño-Bernard, Ricardo, ▼d 1972-.
830 0 ▼a Lecture notes of the Unione matematica Italiana; ▼v 15.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-06514-4
945 ▼a KLPA
991 ▼a E-Book(소장)

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.55 등록번호 E14033230 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

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